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Finding the Fourth Proportional to 3,484.66, 5,246.01 and 3,178.48

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Solution

The fourth proportional to 3,484.66, 5,246.01 and 3,178.48 is: 4,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.66 : 5,246.01 = 3,178.48 : x
  2. Step 2: Convert to fraction form
    3,484.66/5,246.01 = 3,178.48/x
  3. Step 3: Cross multiply
    3,484.66x = 5,246.01 × 3,178.48
  4. Step 4: Simplify right side
    3,484.66x = 16,674,337.86
  5. Step 5: Solve for x
    x = 16,674,337.86/3,484.66
  6. Step 6: Final answer
    x = 4,785.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.